Dumpster Dive Help-Rocking Chair

I tried to go to the sister site for woodworking and was unable to post pics there. The site did not show where to download, just browse--------anyway.

I found a wonderful old rocking chair on the curb. I have tools and some skills but I am unsure how to attach new gluing dowels?? if that is the right question. The pics will show my problem. Would love some help make old new again!!!!!!!! Thanks